Group_Assign1/Linear_Program.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Checking AWS Enviornment\n",
    "Note: I had to spool an ubuntu instance because pulp wasnt working locally"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Instance Type: m5a.4xlarge\n",
      "RAM: 63160 MiB\n",
      "Processor Info: AMD EPYC 7571\n"
     ]
    }
   ],
   "source": [
    "import requests\n",
    "import os\n",
    "import io\n",
    "\n",
    "\n",
    "def get_instance_type():\n",
    "    \"\"\"Get the EC2 instance type.\"\"\"\n",
    "    response = requests.get(\"http://169.254.169.254/latest/meta-data/instance-type\")\n",
    "    return response.text\n",
    "\n",
    "def get_ram_details():\n",
    "    \"\"\"Get RAM details using a system command.\"\"\"\n",
    "    total_mib = os.popen(\"free -m | awk 'NR==2{print $2}'\").read().strip()\n",
    "    return f\"{total_mib} MiB\"\n",
    "\n",
    "def get_processor_info():\n",
    "    \"\"\"Get processor information.\"\"\"\n",
    "    processor_info = os.popen(\"grep 'model name' /proc/cpuinfo | uniq\").read().strip()\n",
    "    return processor_info.split(\":\")[1].strip()\n",
    "\n",
    "instance_type = get_instance_type()\n",
    "ram_details = get_ram_details()\n",
    "processor_info = get_processor_info()\n",
    "\n",
    "print(f\"Instance Type: {instance_type}\")\n",
    "print(f\"RAM: {ram_details}\")\n",
    "print(f\"Processor Info: {processor_info}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Loading Provided Dataset. \n",
    "Note: This is cleaned up data from Lawler_Jensen_ProjectPlan 10_18.xlsx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>taskID</th>\n",
       "      <th>task</th>\n",
       "      <th>predecessorTaskIDs</th>\n",
       "      <th>bestCaseHours</th>\n",
       "      <th>expectedHours</th>\n",
       "      <th>worstCaseHours</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>A</td>\n",
       "      <td>Describe product</td>\n",
       "      <td></td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>B</td>\n",
       "      <td>Develop marketing strategy</td>\n",
       "      <td></td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>C</td>\n",
       "      <td>Design brochure</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>D1</td>\n",
       "      <td>Requirements analysis</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>D2</td>\n",
       "      <td>Software design</td>\n",
       "      <td>D1</td>\n",
       "      <td>10</td>\n",
       "      <td>16</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>D3</td>\n",
       "      <td>System design</td>\n",
       "      <td>D1</td>\n",
       "      <td>10</td>\n",
       "      <td>16</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>D4</td>\n",
       "      <td>Coding</td>\n",
       "      <td>D2, D3</td>\n",
       "      <td>10</td>\n",
       "      <td>16</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>D5</td>\n",
       "      <td>Write documentation</td>\n",
       "      <td>D4</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>D6</td>\n",
       "      <td>Unit testing</td>\n",
       "      <td>D4</td>\n",
       "      <td>16</td>\n",
       "      <td>24</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>D7</td>\n",
       "      <td>System testing</td>\n",
       "      <td>D6</td>\n",
       "      <td>16</td>\n",
       "      <td>24</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>D8</td>\n",
       "      <td>Package deliverables</td>\n",
       "      <td>D5, D7</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>E</td>\n",
       "      <td>Survey potential market</td>\n",
       "      <td>B, C</td>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>F</td>\n",
       "      <td>Develop pricing plan</td>\n",
       "      <td>D8, E</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>G</td>\n",
       "      <td>Develop implementation  plan</td>\n",
       "      <td>A, D8</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>H</td>\n",
       "      <td>Write client proposal</td>\n",
       "      <td>F, G</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   taskID                          task predecessorTaskIDs  bestCaseHours  \\\n",
       "0       A              Describe product                                 1   \n",
       "1       B    Develop marketing strategy                                 1   \n",
       "2       C               Design brochure                  A              2   \n",
       "3      D1         Requirements analysis                  A              2   \n",
       "4      D2               Software design                 D1             10   \n",
       "5      D3                 System design                 D1             10   \n",
       "6      D4                        Coding             D2, D3             10   \n",
       "7      D5           Write documentation                 D4              2   \n",
       "8      D6                  Unit testing                 D4             16   \n",
       "9      D7                System testing                 D6             16   \n",
       "10     D8          Package deliverables             D5, D7              2   \n",
       "11      E       Survey potential market               B, C              6   \n",
       "12      F          Develop pricing plan              D8, E              1   \n",
       "13      G  Develop implementation  plan              A, D8              1   \n",
       "14      H         Write client proposal               F, G              2   \n",
       "\n",
       "    expectedHours  worstCaseHours  \n",
       "0               2               3  \n",
       "1               2               4  \n",
       "2               4               6  \n",
       "3               4               8  \n",
       "4              16              24  \n",
       "5              16              24  \n",
       "6              16              24  \n",
       "7               4               8  \n",
       "8              24              32  \n",
       "9              24              32  \n",
       "10              4               6  \n",
       "11             10              16  \n",
       "12              2               4  \n",
       "13              2               4  \n",
       "14              4               8  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import pulp\n",
    "\n",
    "df = pd.read_excel(\"data.xlsx\")\n",
    "df['predecessorTaskIDs'].fillna(\"\", inplace=True)\n",
    "df = df[['taskID', 'task', 'predecessorTaskIDs', 'bestCaseHours', 'expectedHours', 'worstCaseHours']]\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Defining Linear Programming Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solve_project_plan(df, case=\"expected\"):\n",
    "    # LP Model\n",
    "    lp_problem = pulp.LpProblem(\"Project_Planning\", pulp.LpMinimize)\n",
    "    \n",
    "    # Decision vars\n",
    "    start_times = pulp.LpVariable.dicts(\"start_time\", df[\"taskID\"], 0, None)\n",
    "    \n",
    "    # Objective function\n",
    "    project_end = pulp.LpVariable(\"project_end\", 0, None)\n",
    "    lp_problem += project_end, \"Minimize_Project_Duration\"\n",
    "    \n",
    "    # adding constraints\n",
    "    for index, row in df.iterrows():\n",
    "        task = row[\"taskID\"]\n",
    "        \n",
    "        # duration of cases\n",
    "        if case == \"best\":\n",
    "            duration = row[\"bestCaseHours\"]\n",
    "        elif case == \"worst\":\n",
    "            duration = row[\"worstCaseHours\"]\n",
    "        else:\n",
    "            duration = row[\"expectedHours\"]\n",
    "        \n",
    "        predecessors = [pred.strip() for pred in row[\"predecessorTaskIDs\"].split(\",\") if pred.strip()]\n",
    "        \n",
    "        # task duration constraint\n",
    "        lp_problem += start_times[task] + duration <= project_end\n",
    "        \n",
    "        # task dependencies constraints\n",
    "        for predecessor in predecessors:\n",
    "            lp_problem += start_times[task] >= start_times[predecessor] + duration\n",
    "\n",
    "    # Solver\n",
    "    lp_problem.solve()\n",
    "    \n",
    "    # output prep\n",
    "    results = {\n",
    "        \"status\": pulp.LpStatus[lp_problem.status],\n",
    "        \"optimal_duration\": project_end.varValue,\n",
    "        \"task_start_times\": {task: var.varValue for task, var in start_times.items()}\n",
    "    }\n",
    "    \n",
    "    return results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Running Linear Solver and Saving Results\n",
    "Note: The output below is saved to results_lp_output.txt <br>\n",
    "Note: The output dataframe is saved to results_lp.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/591536a756d64fe8bdbf6554b07e5608-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/591536a756d64fe8bdbf6554b07e5608-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 70\n",
      "After Postsolve, objective 70, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 70 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/7d4515e0c71c408683906cb0d9fcaa1b-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/7d4515e0c71c408683906cb0d9fcaa1b-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/1f7fa9124e444c7ea7639520e32eea8c-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/1f7fa9124e444c7ea7639520e32eea8c-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 152\n",
      "After Postsolve, objective 152, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 152 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n"
     ]
    }
   ],
   "source": [
    "simple_results_df = pd.DataFrame(columns=[\"Case\", \"Optimal_Duration\", *df[\"taskID\"].tolist()])\n",
    "output_buffer = io.StringIO()\n",
    "\n",
    "cases = [\"best\", \"expected\", \"worst\"]\n",
    "for case in cases:\n",
    "    result = solve_project_plan(df, case)\n",
    "    \n",
    "    print_str = f\"Results for {case} case:\\n\"\n",
    "    print_str += f\"Optimal project duration: {result['optimal_duration']} hours\\n\"\n",
    "    print_str += \"Start times for tasks:\\n\"\n",
    "    for task, start_time in result[\"task_start_times\"].items():\n",
    "        print_str += f\"Task {task}: {start_time} hours\\n\"\n",
    "    print_str += \"\\n\"\n",
    "    \n",
    "    row_data = [case, result[\"optimal_duration\"]] + list(result[\"task_start_times\"].values())\n",
    "    simple_results_df.loc[len(simple_results_df)] = row_data\n",
    "    \n",
    "    output_buffer.write(print_str)\n",
    "\n",
    "with open(\"results_lp_output.txt\", \"w\") as f:\n",
    "    f.write(output_buffer.getvalue())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Case</th>\n",
       "      <th>Optimal_Duration</th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "      <th>C</th>\n",
       "      <th>D1</th>\n",
       "      <th>D2</th>\n",
       "      <th>D3</th>\n",
       "      <th>D4</th>\n",
       "      <th>D5</th>\n",
       "      <th>D6</th>\n",
       "      <th>D7</th>\n",
       "      <th>D8</th>\n",
       "      <th>E</th>\n",
       "      <th>F</th>\n",
       "      <th>G</th>\n",
       "      <th>H</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>best</td>\n",
       "      <td>70.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>38.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>57.0</td>\n",
       "      <td>57.0</td>\n",
       "      <td>68.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>expected</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>worst</td>\n",
       "      <td>152.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>32.0</td>\n",
       "      <td>32.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>64.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>120.0</td>\n",
       "      <td>126.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>130.0</td>\n",
       "      <td>130.0</td>\n",
       "      <td>144.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Case  Optimal_Duration    A    B    C   D1    D2    D3    D4    D5  \\\n",
       "0      best              70.0  0.0  0.0  2.0  2.0  12.0  12.0  22.0  24.0   \n",
       "1  expected             108.0  0.0  0.0  4.0  4.0  20.0  20.0  36.0  40.0   \n",
       "2     worst             152.0  0.0  0.0  6.0  8.0  32.0  32.0  56.0  64.0   \n",
       "\n",
       "     D6     D7     D8     E      F      G      H  \n",
       "0  38.0   54.0   56.0   8.0   57.0   57.0   68.0  \n",
       "1  60.0   84.0   88.0  14.0   90.0   90.0  104.0  \n",
       "2  88.0  120.0  126.0  22.0  130.0  130.0  144.0  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simple_results_df.to_csv(\"results_lp.csv\")\n",
    "simple_results_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Per Desire to have mixed cases based on task, with default set to optimal due to exponential nature.\n",
    "Note: This really doenst make sense and I dont think we should use it, the above code seems right. <br>\n",
    "Note: The output below is saved to results_output_complex.txt <br>\n",
    "Note: The output dataframe is saved to results_df_complex.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/21df704ba0504f1499fd2856f30d9c08-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/21df704ba0504f1499fd2856f30d9c08-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/45482d3742dd40bf858f197b951f1ee5-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/45482d3742dd40bf858f197b951f1ee5-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/5738547ae98b499bbb921ac01a7d9200-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/5738547ae98b499bbb921ac01a7d9200-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/9696023334a245bb8aff6c93fc4cc3b4-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/9696023334a245bb8aff6c93fc4cc3b4-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/20d972358b4344f1b5071b26963ef855-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/20d972358b4344f1b5071b26963ef855-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/ba383834348a4137a95dad2b0e37a872-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/ba383834348a4137a95dad2b0e37a872-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/987b67d16bd645aca54fe845fa2b31ce-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/987b67d16bd645aca54fe845fa2b31ce-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/7ab8f3b767624acfabc3e61c300b2921-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/7ab8f3b767624acfabc3e61c300b2921-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/6b17f78463f643d09119bbd534903c85-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/6b17f78463f643d09119bbd534903c85-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/a257b80aee824730b5b57124ad64fff7-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/a257b80aee824730b5b57124ad64fff7-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/1475829ce0cf497cab69f309fb5127ea-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/1475829ce0cf497cab69f309fb5127ea-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/74bb85b3d75d4da5918fc06247d8d281-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/74bb85b3d75d4da5918fc06247d8d281-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/d4033684f37541de8f61bc99832897ff-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/d4033684f37541de8f61bc99832897ff-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/0ade0224408f4014ab1da467a571e0ad-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/0ade0224408f4014ab1da467a571e0ad-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/d98c3c779e1b4e9dabbb4c11ec4b6883-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/d98c3c779e1b4e9dabbb4c11ec4b6883-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/a33cef3e3b224cc3a7ad26310862bf36-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/a33cef3e3b224cc3a7ad26310862bf36-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/6ef4df3169e14f94832dcae916e30d07-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/6ef4df3169e14f94832dcae916e30d07-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/95739b70b20b4e3c81e91e3090b0f7df-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/95739b70b20b4e3c81e91e3090b0f7df-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/c1be98aac90746a2adaee083b3fea98f-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/c1be98aac90746a2adaee083b3fea98f-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/831fb2258f2949468e371607cfc3c483-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/831fb2258f2949468e371607cfc3c483-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/94b821d128304e9c8808670236024723-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/94b821d128304e9c8808670236024723-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/8331eb4f82594d7b9e03ea603ffda04b-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/8331eb4f82594d7b9e03ea603ffda04b-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/b08c0e3517c34ee6a60bcd4dcc9d8c08-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/b08c0e3517c34ee6a60bcd4dcc9d8c08-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/06ceb890df1d4332a410ad85ef8fcd2b-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/06ceb890df1d4332a410ad85ef8fcd2b-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/1209a323c0cf4a3fbbcab4392456accd-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/1209a323c0cf4a3fbbcab4392456accd-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/13368b832bc74241857d0f4a77778cb5-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/13368b832bc74241857d0f4a77778cb5-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/3a6e3b2dbe3a455c875c6d32886a8174-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/3a6e3b2dbe3a455c875c6d32886a8174-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/7a7be6d5861b46b89c0f2b08eda102ba-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/7a7be6d5861b46b89c0f2b08eda102ba-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/25fc6b70526d4957b241decbecfe7a09-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/25fc6b70526d4957b241decbecfe7a09-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/1f4d44086d174915b0dcf2a0b249743f-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/1f4d44086d174915b0dcf2a0b249743f-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/aedd0e806b3f4949a555904a69d42ed4-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/aedd0e806b3f4949a555904a69d42ed4-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/5c3ae29f61ea41d1af161378bf6364a9-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/5c3ae29f61ea41d1af161378bf6364a9-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/20bfaa6d2d3742ad932937d56d392370-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/20bfaa6d2d3742ad932937d56d392370-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/e8525872fe854f2395b24e1659f50a53-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/e8525872fe854f2395b24e1659f50a53-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/b4d6652f574a4b1abbe17cbbd81a0829-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/b4d6652f574a4b1abbe17cbbd81a0829-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/94a8196b4bc94456af45105fb9e93152-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/94a8196b4bc94456af45105fb9e93152-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/2bc851c0ee4341f3973ba803c67d6aa5-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/2bc851c0ee4341f3973ba803c67d6aa5-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/b2ef9b1d8806457fa28eabccd4515d5e-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/b2ef9b1d8806457fa28eabccd4515d5e-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/893273cea3114b3ebdf13bd3cca7a61d-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/893273cea3114b3ebdf13bd3cca7a61d-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/a11b045fddda43bda0b23644ac473474-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/a11b045fddda43bda0b23644ac473474-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/5f4b1ce5d2684057ab636cab483f4147-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/5f4b1ce5d2684057ab636cab483f4147-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/c4093c92c513477eb24211c7dc8802ff-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/c4093c92c513477eb24211c7dc8802ff-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/3f03a80be9eb4bdcaa6d1bb796c7a2af-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/3f03a80be9eb4bdcaa6d1bb796c7a2af-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/d363e1ddbb444acf92ef02706c99cf1a-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/d363e1ddbb444acf92ef02706c99cf1a-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n",
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/ubuntu/.local/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/2b9fe6d3528c499dac252e8d80d25c60-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/2b9fe6d3528c499dac252e8d80d25c60-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 39 COLUMNS\n",
      "At line 109 RHS\n",
      "At line 144 BOUNDS\n",
      "At line 145 ENDATA\n",
      "Problem MODEL has 34 rows, 16 columns and 68 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 0 (-34) rows, 0 (-16) columns and 0 (-68) elements\n",
      "Empty problem - 0 rows, 0 columns and 0 elements\n",
      "Optimal - objective value 108\n",
      "After Postsolve, objective 108, infeasibilities - dual 0 (0), primal 0 (0)\n",
      "Optimal objective 108 - 0 iterations time 0.002, Presolve 0.00\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n"
     ]
    }
   ],
   "source": [
    "results_df_complex = pd.DataFrame(columns=[\"Scenario\", \"Optimal_Duration\", *df[\"taskID\"].tolist()])\n",
    "output_buffer = io.StringIO()\n",
    "\n",
    "for task in df[\"taskID\"]:\n",
    "    for case in [\"best\", \"expected\", \"worst\"]:\n",
    "        task_scenarios = {t: \"expected\" for t in df[\"taskID\"]} \n",
    "        task_scenarios[task] = case\n",
    "        \n",
    "        result = solve_project_plan(df, task_scenarios)\n",
    "        \n",
    "        print_str = f\"Results for Task {task} in {case} case:\\n\"\n",
    "        print_str += f\"Optimal project duration: {result['optimal_duration']} hours\\n\"\n",
    "        print_str += \"Start times for tasks:\\n\"\n",
    "        for t, start_time in result[\"task_start_times\"].items():\n",
    "            print_str += f\"Task {t}: {start_time} hours\\n\"\n",
    "        print_str += \"\\n\"\n",
    "        \n",
    "        row_data = [f\"Task {task} ({case})\", result[\"optimal_duration\"]] + list(result[\"task_start_times\"].values())\n",
    "        results_df_complex.loc[len(results_df_complex)] = row_data\n",
    "        \n",
    "        output_buffer.write(print_str)\n",
    "\n",
    "with open(\"results_output_complex.txt\", \"w\") as f:\n",
    "    f.write(output_buffer.getvalue())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: This didnt work like I thought, but again its not what im thinking the prof is after. We can discuss and I can fix it if needed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Scenario</th>\n",
       "      <th>Optimal_Duration</th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "      <th>C</th>\n",
       "      <th>D1</th>\n",
       "      <th>D2</th>\n",
       "      <th>D3</th>\n",
       "      <th>D4</th>\n",
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       "      <th>F</th>\n",
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       "      <th>H</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Task A (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
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       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Task A (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Task A (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Task B (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Task B (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Task B (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Task C (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Task C (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Task C (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Task D1 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Task D1 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Task D1 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Task D2 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Task D2 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Task D2 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Task D3 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Task D3 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Task D3 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Task D4 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Task D4 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Task D4 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Task D5 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Task D5 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>Task D5 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Task D6 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Task D6 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Task D6 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Task D7 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Task D7 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Task D7 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Task D8 (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Task D8 (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>Task D8 (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>Task E (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>Task E (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>Task E (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Task F (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>Task F (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>Task F (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>Task G (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>Task G (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>Task G (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>Task H (best)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>Task H (expected)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>Task H (worst)</td>\n",
       "      <td>108.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Scenario  Optimal_Duration    A    B    C   D1    D2    D3  \\\n",
       "0        Task A (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "1    Task A (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "2       Task A (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "3        Task B (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "4    Task B (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "5       Task B (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "6        Task C (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "7    Task C (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "8       Task C (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "9       Task D1 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "10  Task D1 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "11     Task D1 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "12      Task D2 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "13  Task D2 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "14     Task D2 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "15      Task D3 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "16  Task D3 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "17     Task D3 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "18      Task D4 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "19  Task D4 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "20     Task D4 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "21      Task D5 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "22  Task D5 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "23     Task D5 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "24      Task D6 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "25  Task D6 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "26     Task D6 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "27      Task D7 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "28  Task D7 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "29     Task D7 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "30      Task D8 (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "31  Task D8 (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "32     Task D8 (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "33       Task E (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "34   Task E (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "35      Task E (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "36       Task F (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "37   Task F (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "38      Task F (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "39       Task G (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "40   Task G (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "41      Task G (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "42       Task H (best)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "43   Task H (expected)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "44      Task H (worst)             108.0  0.0  0.0  4.0  4.0  20.0  20.0   \n",
       "\n",
       "      D4    D5    D6    D7    D8     E     F     G      H  \n",
       "0   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "1   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "2   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "3   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "4   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "5   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "6   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "7   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "8   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "9   36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "10  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "11  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "12  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "13  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "14  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "15  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "16  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "17  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "18  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "19  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "20  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "21  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "22  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "23  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "24  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "25  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "26  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "27  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "28  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "29  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "30  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "31  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "32  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "33  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "34  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "35  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "36  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "37  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "38  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "39  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "40  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "41  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "42  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "43  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  \n",
       "44  36.0  40.0  60.0  84.0  88.0  14.0  90.0  90.0  104.0  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results_df_complex.to_csv(\"results_df_complex.csv\")\n",
    "results_df_complex"
   ]
  }
 ],
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